Search a number
-
+
20115203120 = 245317121609
BaseRepresentation
bin10010101110111101…
…011010010000110000
31220220212022012012222
4102232331122100300
5312143442444440
613124002340212
71311321256025
oct225675322060
956825265188
1020115203120
118592564911
123a9465a668
131b8751236c
14d8b71354c
157cae252b5
hex4aef5a430

20115203120 has 120 divisors (see below), whose sum is σ = 48996447360. Its totient is φ = 7672089600.

The previous prime is 20115203113. The next prime is 20115203149. The reversal of 20115203120 is 2130251102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12500876 + ... + 12502484.

It is an arithmetic number, because the mean of its divisors is an integer number (408303728).

Almost surely, 220115203120 is an apocalyptic number.

20115203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20115203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498223680).

20115203120 is an abundant number, since it is smaller than the sum of its proper divisors (28881244240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20115203120 is a wasteful number, since it uses less digits than its factorization.

20115203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 20115203120 its reverse (2130251102), we get a palindrome (22245454222).

The spelling of 20115203120 in words is "twenty billion, one hundred fifteen million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1240 1420 1609 2201 2480 2840 3218 4402 5041 5680 6436 8045 8804 10082 11005 12872 16090 17608 20164 22010 25205 25744 32180 35216 40328 44020 49879 50410 64360 80656 88040 99758 100820 114239 128720 156271 176080 199516 201640 228478 249395 312542 399032 403280 456956 498790 571195 625084 781355 798064 913912 997580 1142390 1250168 1562710 1827824 1995160 2284780 2500336 3125420 3541409 3990320 4569560 6250840 7082818 8110969 9139120 12501680 14165636 16221938 17707045 28331272 32443876 35414090 40554845 56662544 64887752 70828180 81109690 129775504 141656360 162219380 251440039 283312720 324438760 502880078 648877520 1005760156 1257200195 2011520312 2514400390 4023040624 5028800780 10057601560 20115203120